| 一类耗散型Degasperis—Procesi方程解的blow—up |
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| 引用本文： | 李子宝,徐能.一类耗散型Degasperis—Procesi方程解的blow—up[J].云南师范大学学报(自然科学版),2012(6):32-38. |
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| 作者姓名： | 李子宝 徐能 |
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| 作者单位： | 云南师范大学数学学院 |
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| 基金项目： | 国家自然科学基金资助项目(10961029) |
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| 摘 要： | 研究了带耗散项A（虬一％）的Degasperis—Procesi方程的初值问题，由Kato定理得到初值问题的解的局部适定性结果，然后研究了解的blow-up现象．
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| 关 键 词： | 耗散型Degasperis—Procesi方程 局部适定性 blow-up blow-up率 |
The Blow-up Phenomena for the Degasperis-Procesi Equation with a Dissipation |
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| LI Zi-bao,XU Neng.The Blow-up Phenomena for the Degasperis-Procesi Equation with a Dissipation[J].Journal of Yunnan Normal University (Natural Sciences Edition),2012(6):32-38. |
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| Authors: | LI Zi-bao XU Neng |
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| Institution: | (School of Mathematics,Yunnan Normal University,Kunming 650092,China) |
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| Abstract: | In this paper, we study the initial-value problem of the Degasperis-Procesi equation with dissipation y（ux -uxx ）. We establish the local well-posedness by the Kato＇s theorem and then investi- gate the blow-up phenomena for the problem. |
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| Keywords: | up rateDegasperis-Procesi equation with a dissipation Local well-posedness Blow-up Blow |
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